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Finding the Fourth Proportional to 8,524.96, 12,786.53 and 2,285.63

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Solution

The fourth proportional to 8,524.96, 12,786.53 and 2,285.63 is: 3,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.96 : 12,786.53 = 2,285.63 : x
  2. Step 2: Convert to fraction form
    8,524.96/12,786.53 = 2,285.63/x
  3. Step 3: Cross multiply
    8,524.96x = 12,786.53 × 2,285.63
  4. Step 4: Simplify right side
    8,524.96x = 29,225,218.35
  5. Step 5: Solve for x
    x = 29,225,218.35/8,524.96
  6. Step 6: Final answer
    x = 3,428.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.